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Verified Answer :

Azieq

3x - 2 ( 5x + 4 ) - 1 = 0
3x - 10x - 8 - 1 = 0
7x = - 9
x = - 9/7

y = 5 ( - 9/7 ) + 4
y = - 45/7 + 4
y = - 3/45/7

Answer:

\(x=\frac{-9}{7}\)

\(y=\frac{-17}{7}\)

Step-by-step explanation:

We have been given the equation:

\(3x-2y-1=0\)

And \(y=5x+4\)

Second equation can be rewritten as:

\(5x-y=-4\)

We will solve the equations:

\(3x-2y=1\)      (1)

\(5x-y=-4\)       (2)

Multiply equation (1) by 5 and equation (2) by 3 we get:

\(15x-10y=5\)      (3)

\(15x-3y=-12\)       (4)

Now, subtract (4) from (3) we get:

\(-7y=17\)

\(y=\frac{-17}{7}\)

Now substitute \(y=\frac{-17}{7}\) in equation (1) we get:

\(3x-2{\frac{-17}{7}}=1\)

\(3x+\frac{34}{7}=1\)

\(21x=-27\)

\(x=\frac[-27}{21}\)

\(x=\frac{-9}{7}\)




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